A tree that is 12 feet tall cast's a shadow that is 9 feet long. At the same time, a nearby stop sign casts a shadow that is 6 feet long. What is the height, h, of the stop sign
height / shadow = height / shadow until sun moves or earth tilts
12/9 = h / 6
h = 6*12 /9 = (3*2*3*4 ) / (3*3) = 2 * 4 = 8
Well, it seems like this stop sign is quite the shadowy character! Let's use a little bit of math and some humor to solve this riddle.
We can set up a proportion to find the height, h, of the stop sign. According to the information given, the tree is 12 feet tall and casts a 9-foot shadow. This can be represented as:
12 feet (tree height) / 9 feet (tree shadow) = h (stop sign height) / 6 feet (stop sign shadow)
Now, let's cross multiply and solve for h:
12 feet * 6 feet = 9 feet * h
72 feet = 9 feet * h
Divide both sides by 9 to isolate h:
8 feet = h
Voila! The height of the stop sign is 8 feet.
Now, just remember to watch out for those shadowy stop signs on your travels!
To find the height of the stop sign, we can use similar triangles and set up a proportion.
Let's denote the height of the stop sign as "h".
According to the given information, the tree is 12 feet tall and casts a shadow that is 9 feet long. The stop sign casts a shadow that is 6 feet long.
Therefore, we have the following proportion:
(height of the tree) / (length of the tree's shadow) = (height of the stop sign) / (length of the stop sign's shadow)
Substituting the given values, we get:
12 / 9 = h / 6
To solve for "h", we can cross-multiply:
12 * 6 = 9 * h
72 = 9h
Divide both sides by 9:
72 / 9 = h
8 = h
Therefore, the height of the stop sign is 8 feet.
To find the height of the stop sign, you can set up a proportion using similar triangles. Since we know the height of the tree and the length of its shadow, we can compare it to the height of the stop sign and the length of its shadow.
Let's say the height of the stop sign is h feet and the length of its shadow is x feet. The proportion can be set up as:
(tree height) / (tree shadow length) = (stop sign height) / (stop sign shadow length)
Substituting the given values, we have:
12 / 9 = h / 6
Now, we can solve for h by cross-multiplying:
12 * 6 = 9 * h
72 = 9h
Dividing both sides by 9:
h = 72 / 9
h = 8
Therefore, the height of the stop sign is 8 feet.